# Polarization, plasmon, and Debye screening in doped 3D ani-Weyl semimetal

## TL;DR

This paper analyzes the polarization, plasmon modes, and Debye screening in doped 3D anisotropic-Weyl semimetals, revealing unique density-dependent behaviors that can be experimentally tested.

## Contribution

It provides a detailed calculation of polarization and plasmon modes in doped anisotropic-Weyl semimetals, highlighting their unique density dependencies and screening properties.

## Key findings

- Plasmon frequency in the basal plane scales as n_e^{3/10}.
- Plasmon frequency along the third direction scales as n_e^{1/2}.
- Debye screening behavior is characterized at finite chemical potential and temperature.

## Abstract

We compute the polarization function in a doped three-dimensional anisotropic-Weyl semimetal, in which the fermion energy dispersion is linear in two components of the momenta and quadratic in the third. Through detailed calculations, we find that the long wavelength plasmon mode depends on the fermion density $n_e$ in the form $\Omega_{p}^{\bot}\propto n_{e}^{3/10}$ within the basal plane and behaves as $\Omega_{p}^{z}\propto n_{e}^{1/2}$ along the third direction. This unique characteristic of the plasmon mode can be probed by various experimental techniques, such as electron energy-loss spectroscopy. The Debye screening at finite chemical potential and finite temperature is also analyzed based on the polarization function.